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Theorem reu5 2824
Description: Restricted uniqueness in terms of "at most one." (Contributed by NM, 23-May-1999.) (Revised by NM, 16-Jun-2017.)
Assertion
Ref Expression
reu5

Proof of Theorem reu5
StepHypRef Expression
1 eu5 2242 . 2
2 df-reu 2621 . 2
3 df-rex 2620 . . 3
4 df-rmo 2622 . . 3
53, 4anbi12i 678 . 2
61, 2, 53bitr4i 268 1
Colors of variables: wff setvar class
Syntax hints:   wb 176   wa 358  wex 1541   wcel 1710  weu 2204  wmo 2205  wrex 2615  wreu 2616  wrmo 2617
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925
This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-eu 2208  df-mo 2209  df-rex 2620  df-reu 2621  df-rmo 2622
This theorem is referenced by:  reurex  2825  reurmo  2826  reu4  3030  reueq  3033  fncnv  5158
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